Download For questions 1 – 3, TAP ~ RUN

GEOMETRY
Name: __________________________________
UNIT 6 REVIEW
Date:
_________________ Period: __________
1. Find the value of c in the diagram given a = 4 and b = 7.
c
a
b
2. In the diagram, BC = 3 and AB = 9. What is the length of AC?
C
A
B
3. If a 25 foot ladder is placed against a wall so that it reaches a height of 7 feet, how far away
from the wall is the bottom of the ladder?
4. A 25 foot wire is attached to the top of a 15 foot pole. How far from the bottom of the pole
is the wire anchored into the ground?
5. Given a rectangle with a length of 36 and width of 15, find the diagonal.
6. A square has a diagonal of length 12. What is the perimeter of the square?
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GEOMETRY
Name: __________________________________
UNIT 6 REVIEW
Date:
_________________ Period: __________
For problems 7 – 10, the following sets of numbers indicate the lengths of the sides of a triangle.
Determine whether the triangle acute, obtuse, right, or not a triangle.
7. 5, 6, 11
8. 32, 15, 24
9.
10. 8, 12, 14
5, 2, 3
11. What is the geometric mean of 4 and 12?
12. What is the geometric mean between 10 and 4/5?
13. In the diagram, AD = 5 and DC = 4. What is the length of BD?
B
A
5
6
D
4
C
M
14. In the diagram, MP = 6 and MO = 9. Find x and y.
6
9
x
P
y
N
15. Given
O
FGH shown, find the following trigonometric ratios in simplest form.
Sin G = _____
Sin F = _____
Cos G = _____
Cos F = _____
Tan G = _____
60
G
48
Tan F = _____
F
H
36
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GEOMETRY
Name: __________________________________
UNIT 6 REVIEW
Date:
_________________ Period: __________
For problems 16 – 24, solve for x.
16.
17.
24
18.
x
62°
x
4
34°
15
x
53°
19.
20.
21.
12
32
x
x
31°
71°
28°
x
17
x°
22.
23.
13
24.
10
11
26
x°
x°
7
8
25. In the diagram, CT = 10.
26. In the diagram, AD = 9, DC = 8 and BC = 15.
What is the length of AB?
Find AB.
D
C
60°
A
A
C
3
B
30°
T
B
GEOMETRY
Name: __________________________________
UNIT 6 REVIEW
Date:
_________________ Period: __________
27. An altitude of an equilateral triangle is 10√3 units. What is the perimeter of the equilateral triangle?
28. To the nearest tenth of a foot, how tall is a building 100 feet away (d = 100) if the top of the building
is sighted at a 20° angle (n = 20)?
29. If an object is dropped from the top of the leaning tower of Pisa, it will land about 13 feet from the
base of the tower. If the length (i.e., height) of the tower is 183 ft, what is the angle that the tower
makes with the ground?
x
30. Suppose a tree casts a shadow of length 60 feet. If the distance from the top of the tree to the
end of the shadow is 80 feet, what is the angle of elevation from the shadow to the top of the tree?
31. A bird sits on top of a lamppost 20 meters tall. The distance from the bird to the feet of an observer is 25
meters. Find the angle of depression from the bird to the feet of the observer.
4
GEOMETRY
Name: __________________________________
UNIT 6 REVIEW
Date:
_________________ Period: __________
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